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Finding the Fourth Proportional to 409.42, 564.78 and 278.38

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Solution

The fourth proportional to 409.42, 564.78 and 278.38 is: 384.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.42 : 564.78 = 278.38 : x
  2. Step 2: Convert to fraction form
    409.42/564.78 = 278.38/x
  3. Step 3: Cross multiply
    409.42x = 564.78 × 278.38
  4. Step 4: Simplify right side
    409.42x = 157,223.46
  5. Step 5: Solve for x
    x = 157,223.46/409.42
  6. Step 6: Final answer
    x = 384.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.